1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leya [2.2K]
3 years ago
15

Given points (r1, u1 ) and (r2, u2) in polar coordinates, obtain a general formula for the distance between them. Simplify it as

much as possible using the identity cos2 u 1 sin2 u 5 1. Hint: Write the expressions for the two points in Cartesian coordinates and substitute into the usual distance formula.
Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0

Answer:

  d=\sqrt{r_1^2+r_2^2-2r_1r_2\cos(u_2-u_1)}

Step-by-step explanation:

The Law of Cosines gives an immediate result. No translation to Cartesian coordinates is necessary. That law makes use of the angle between the vectors, u2-u1

  d^2=r_1^2+r_2^2-2r_1r_2\cos(u_2-u_1)\\\\\boxed{d=\sqrt{r_1^2+r_2^2-2r_1r_2\cos(u_2-u_1)}}

You might be interested in
1/4 of a pipe is white , 1/2 part of the remaining is blue. If the remaining part is black and the length of this black part is
hram777 [196]

Answer: 14 cm

Step-by-step explanation:

First take out 1/4 of the pipe, the portion that is white.  Then, half of three quarters of the pipe is blue.  1/2 of 3/4 is 3/8.  3/8(blue) + 2/8(white) = 5/8.  Thus, 3/8 of the pipe is black.  Thus, take 5.25(The length of the black portion) and multiply it by 8/3(reciprocal of 3/8) to get 14.

Hope it helps <3

(If it does, please give brainliest, only need 1 more for rank up :) )

5 0
3 years ago
What happens as the triangle goes from obtuse to acute
jeka57 [31]

Answer:  the degree will go down 90 degrees

Step-by-step explanation: An obtuse triangle is one that has an angle greater than 90°. An acute triangle is defined as a triangle in which all of the angles are less than 90°.

7 0
2 years ago
Pls help for brainliest
stealth61 [152]

Answer:

70cm2

Please mark

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
How to estimate 51% of 62
timofeeve [1]
51% = 50%

1/2 * 62 or 62 ÷ 2 = 31

Answer: 31
5 0
2 years ago
Manny used 8 tenth-size parts to model 8/10. Ana used fewer parts to model an equivalent fraction. How does the size of a part i
e-lub [12.9K]
It should be bigger, think of a pie:
if you cut it into 2 parts, the pieces are big
if you cut it into 4 parts, the pieces are smaller

in both parts, the AMOUNT OF PIE stays the same, the size changes

here, we cut out 8 / 10 pieces, (manny)
ana has the same WHOLE amount, but in BIGGER pieces because she has an amount less than 8.

It works if you REDUCE THE FRACTION, 8/10 can be REDUCED to 4/5, Ana's pieces should be twice as big as Manny's, but she only has 4
8 0
3 years ago
Other questions:
  • How would a weather reporter say 0.103 meters of snow
    15·1 answer
  • Let f(x)=4x2−5 . A new quadratic function g(x) is the function f(x) stretched vertically by a factor of 2. What is the equation
    10·1 answer
  • Megan wanted 50 beads that were originally $9.95. She had a coupon for 25% off and paid a sales tax of 6%. What was the total sh
    13·2 answers
  • PLEASE HELP ASAP
    13·1 answer
  • How do you calculate ?x?=24
    15·1 answer
  • rashid bought some baseball cards. after giving 7 cards to his friend grace, he arranged the remaining cards in 6 rows of 4. how
    8·1 answer
  • Calculate your age in hours to the nearest hour.
    6·2 answers
  • Consider the polynomial function g(x)=10x^9-50x^6-500x^2
    12·2 answers
  • Please answer please answer please answer
    15·2 answers
  • Every hour at work, you are able to ship out the same number of
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!